Introduction To Lagrangian Mechanics, An (2nd Edition)
Title | Introduction To Lagrangian Mechanics, An (2nd Edition) PDF eBook |
Author | Alain J Brizard |
Publisher | World Scientific Publishing Company |
Pages | 324 |
Release | 2014-11-28 |
Genre | Science |
ISBN | 9814623644 |
An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler-Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.The Second Edition includes a larger selection of examples and problems (with hints) in each chapter and continues the strong emphasis of the First Edition on the development and application of mathematical methods (mostly calculus) to the solution of problems in Classical Mechanics.New material has been added to most chapters. For example, a new derivation of the Noether theorem for discrete Lagrangian systems is given and a modified Rutherford scattering problem is solved exactly to show that the total scattering cross section associated with a confined potential (i.e., which vanishes beyond a certain radius) yields the hard-sphere result. The Frenet-Serret formulas for the Coriolis-corrected projectile motion are presented, where the Frenet-Serret torsion is shown to be directly related to the Coriolis deflection, and a new treatment of the sleeping-top problem is given.
A Student's Guide to Lagrangians and Hamiltonians
Title | A Student's Guide to Lagrangians and Hamiltonians PDF eBook |
Author | Patrick Hamill |
Publisher | Cambridge University Press |
Pages | 185 |
Release | 2014 |
Genre | Mathematics |
ISBN | 1107042887 |
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Classical Mechanics
Title | Classical Mechanics PDF eBook |
Author | H.C. Corben |
Publisher | Courier Corporation |
Pages | 417 |
Release | 2013-01-17 |
Genre | Science |
ISBN | 0486140784 |
Applications not usually taught in physics courses include theory of space-charge limited currents, atmospheric drag, motion of meteoritic dust, variational principles in rocket motion, transfer functions, much more. 1960 edition.
Lagrangian And Hamiltonian Mechanics: Solutions To The Exercises
Title | Lagrangian And Hamiltonian Mechanics: Solutions To The Exercises PDF eBook |
Author | Melvin G Calkin |
Publisher | World Scientific Publishing Company |
Pages | 240 |
Release | 1999-03-12 |
Genre | Science |
ISBN | 9813105410 |
This book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions. It is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course, but it may also be used, together with that text, by those who are studying mechanics on their own.
Mathematical Methods of Classical Mechanics
Title | Mathematical Methods of Classical Mechanics PDF eBook |
Author | V.I. Arnol'd |
Publisher | Springer Science & Business Media |
Pages | 530 |
Release | 2013-04-09 |
Genre | Mathematics |
ISBN | 1475720637 |
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
Introduction To Classical Mechanics
Title | Introduction To Classical Mechanics PDF eBook |
Author | John Dirk Walecka |
Publisher | World Scientific |
Pages | 184 |
Release | 2020-02-26 |
Genre | Science |
ISBN | 9811217459 |
This textbook aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught sometime ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent, course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.A good introduction to the subject allows one to approach the many more intermediate and advanced texts with better understanding and a deeper sense of appreciation that both students and teachers alike can share.
Introduction to Mechanics and Symmetry
Title | Introduction to Mechanics and Symmetry PDF eBook |
Author | Jerrold E. Marsden |
Publisher | Springer Science & Business Media |
Pages | 593 |
Release | 2013-03-19 |
Genre | Science |
ISBN | 0387217924 |
A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available.